. AEC Company issues common stock that is expected to pay a dividend over the next year of $2 at a stock price of $20 per share
1 answer:
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Answer:
Number of units possible in S are 4.
Explanation:
Given <em>S</em> is a set of complex number of the form where <em>a</em> and <em>b</em> are integers.
is a unit if
exists such that
.
To find:
Number of units possible = ?
Solution:
Given that:
Taking modulus both sides:
Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.
i.e.
So,
......... (1)
Let
Then modulus of z is
Given that a and b are <em>integers</em>, so the equation (1) can be true only when (Reciprocal of 1 is 1). Modulus can be equal only when one of the following is satisfied:
(a = 1, b = 0) , (a = -1, b = 0), (a = 0, b = 1) OR (a = 0, b = -1)
So, the possible complex numbers can be:
Hence, number of units possible in S are 4.
Answer:
The total cost of goods sold = $70,000
Explanation:
Given:
Initial inventory at the start of the year for Jackson Co. = $20,000
Total cost of purchases made during the year = $80,000
Inventory remaining at the end of the year = $30,000
Solution:
Total inventory for Jackson Co. during the year =
Inventory remaining at the end of the year = $30,000
The cost of the goods sold can be calculated by subtracting the remaining inventory from the total inventory.
Thus, cost of goods sold can be given as :
⇒
⇒
The total cost of goods sold = $70,000